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Finding the Third Proportional to 320,884 and 493,266

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Solution

The third proportional to 320,884 and 493,266 is: 758,253.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,884 : 493,266 = 493,266 : x
  2. Step 2: Convert to fraction form
    320,884/493,266 = 493,266/x
  3. Step 3: Cross multiply
    320,884x = 493,266 × 493,266
  4. Step 4: Simplify right side
    320,884x = 243,311,346,756
  5. Step 5: Solve for x
    x = 243,311,346,756/320,884
  6. Step 6: Final answer
    x = 758,253.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.